Finding the Third Proportional to 39,744 and 85,018.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,744 : 85,018.50 = 85,018.50 : x
2. Step 2: Convert to fraction form
   39,744/85,018.50 = 85,018.50/x
3. Step 3: Cross multiply
   39,744x = 85,018.50 × 85,018.50
4. Step 4: Simplify right side
   39,744x = 7,228,145,342.25
5. Step 5: Solve for x
   x = 7,228,145,342.25/39,744
6. Step 6: Final answer
   x = 181,867.59